@article{63286,
  abstract     = {{<jats:p> The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text]. </jats:p><jats:p> It is shown that if [Formula: see text] suitably generalizes the prototype given by [Formula: see text] with some [Formula: see text], and if diffusion is suitably weak in the sense that [Formula: see text] is such that there exist [Formula: see text] and [Formula: see text] fulfilling [Formula: see text] then for appropriate choices of sufficiently concentrated initial data, an associated no-flux initial-boundary value problem admits a global classical solution [Formula: see text] which blows up in infinite time and satisfies [Formula: see text] A major part of the proof is based on a comparison argument involving explicitly constructed subsolutions to a scalar parabolic problem satisfied by mass accumulation functions corresponding to solutions of ( ⋆ ). </jats:p>}},
  author       = {{Winkler, Michael}},
  issn         = {{0921-7134}},
  journal      = {{Asymptotic Analysis}},
  number       = {{1}},
  pages        = {{33--57}},
  publisher    = {{SAGE Publications}},
  title        = {{{Exponential grow-up rates in a quasilinear Keller–Segel system}}},
  doi          = {{10.3233/asy-221765}},
  volume       = {{131}},
  year         = {{2022}},
}

